47936823846912 has 3456 divisors, whose sum is σ = 202079279001600. Its totient is φ = 11086361395200.

The previous prime is 47936823846889. The next prime is 47936823847013. The reversal of 47936823846912 is 21964832863974.

47936823846912 is a `hidden beast` number, since 4 + 7 + 93 + 68 + 2 + 3 + 8 + 469 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 156146005863 + ... + 156146006169.

It is an arithmetic number, because the mean of its divisors is an integer number (58472013600).

Almost surely, 2^{47936823846912} is an apocalyptic number.

47936823846912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47936823846912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101039639500800).

47936823846912 is an abundant number, since it is smaller than the sum of its proper divisors (154142455154688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47936823846912 is a wasteful number, since it uses less digits than its factorization.

47936823846912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 374 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 47936823846912 in words is "forty-seven trillion, nine hundred thirty-six billion, eight hundred twenty-three million, eight hundred forty-six thousand, nine hundred twelve".